{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CV7ZIZIG6QH26JP7JUW5VKZSJV","short_pith_number":"pith:CV7ZIZIG","canonical_record":{"source":{"id":"1612.04711","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-12-14T16:21:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d28333b58d2c61477aa890141b5b5252becdc28c9de11647893daf8472ae101e","abstract_canon_sha256":"ae866b1a6af26ecd39ee35014f177fa8baabd7832da5816423a18371a594127e"},"schema_version":"1.0"},"canonical_sha256":"157f946506f40faf25ff4d2ddaab324d67099e405638a93bb2388b29ac5268a3","source":{"kind":"arxiv","id":"1612.04711","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04711","created_at":"2026-05-18T00:41:20Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04711v3","created_at":"2026-05-18T00:41:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04711","created_at":"2026-05-18T00:41:20Z"},{"alias_kind":"pith_short_12","alias_value":"CV7ZIZIG6QH2","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CV7ZIZIG6QH26JP7","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CV7ZIZIG","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CV7ZIZIG6QH26JP7JUW5VKZSJV","target":"record","payload":{"canonical_record":{"source":{"id":"1612.04711","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-12-14T16:21:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d28333b58d2c61477aa890141b5b5252becdc28c9de11647893daf8472ae101e","abstract_canon_sha256":"ae866b1a6af26ecd39ee35014f177fa8baabd7832da5816423a18371a594127e"},"schema_version":"1.0"},"canonical_sha256":"157f946506f40faf25ff4d2ddaab324d67099e405638a93bb2388b29ac5268a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:20.899773Z","signature_b64":"kF91deWG7E+HEa6Q77p6LBJAxiYZniuxUeGy+2mAvUbcYK/YvtqCcmpY981rlMQjw/aqjQjnC2+90HFzfLNbBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"157f946506f40faf25ff4d2ddaab324d67099e405638a93bb2388b29ac5268a3","last_reissued_at":"2026-05-18T00:41:20.899063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:20.899063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.04711","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:41:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nTZmh8AM2z4HdsFiMzc4dR7ZvejtlpAk0zHN0mNeSCSBfz5l8FBTZ3yWNNzzfXd7IemMTrURI8HKWMyXwGk7DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T04:33:43.410565Z"},"content_sha256":"69c50a40bee9f2c920a71ecc8e442563948678eb9a0fc6f866cb4ba594979ae0","schema_version":"1.0","event_id":"sha256:69c50a40bee9f2c920a71ecc8e442563948678eb9a0fc6f866cb4ba594979ae0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CV7ZIZIG6QH26JP7JUW5VKZSJV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Direct linearising transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Frank Nijhoff, Wei Fu","submitted_at":"2016-12-14T16:21:18Z","abstract_excerpt":"A unified framework is presented for the solution structure of three-dimensional discrete integrable systems, including the lattice AKP, BKP and CKP equations. This is done through the so-called direct linearising transform which establishes a general class of integral transforms between solutions. As a particular application, novel soliton-type solutions for the lattice CKP equation are obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04711","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:41:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HkbbpO1VEDCWJMPrKDWzSGccGtm0jDrt11N4MwKFTTtAmGXZh/0lpi66Gq/NMXKXWrV3EUSU1W5YZN17UuYoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T04:33:43.410903Z"},"content_sha256":"e093b63b7e79985da78e5d0da0f62be684efb5cfa8cc9782dfc496584bc01c96","schema_version":"1.0","event_id":"sha256:e093b63b7e79985da78e5d0da0f62be684efb5cfa8cc9782dfc496584bc01c96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CV7ZIZIG6QH26JP7JUW5VKZSJV/bundle.json","state_url":"https://pith.science/pith/CV7ZIZIG6QH26JP7JUW5VKZSJV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CV7ZIZIG6QH26JP7JUW5VKZSJV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T04:33:43Z","links":{"resolver":"https://pith.science/pith/CV7ZIZIG6QH26JP7JUW5VKZSJV","bundle":"https://pith.science/pith/CV7ZIZIG6QH26JP7JUW5VKZSJV/bundle.json","state":"https://pith.science/pith/CV7ZIZIG6QH26JP7JUW5VKZSJV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CV7ZIZIG6QH26JP7JUW5VKZSJV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CV7ZIZIG6QH26JP7JUW5VKZSJV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ae866b1a6af26ecd39ee35014f177fa8baabd7832da5816423a18371a594127e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-12-14T16:21:18Z","title_canon_sha256":"d28333b58d2c61477aa890141b5b5252becdc28c9de11647893daf8472ae101e"},"schema_version":"1.0","source":{"id":"1612.04711","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04711","created_at":"2026-05-18T00:41:20Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04711v3","created_at":"2026-05-18T00:41:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04711","created_at":"2026-05-18T00:41:20Z"},{"alias_kind":"pith_short_12","alias_value":"CV7ZIZIG6QH2","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CV7ZIZIG6QH26JP7","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CV7ZIZIG","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:e093b63b7e79985da78e5d0da0f62be684efb5cfa8cc9782dfc496584bc01c96","target":"graph","created_at":"2026-05-18T00:41:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A unified framework is presented for the solution structure of three-dimensional discrete integrable systems, including the lattice AKP, BKP and CKP equations. This is done through the so-called direct linearising transform which establishes a general class of integral transforms between solutions. As a particular application, novel soliton-type solutions for the lattice CKP equation are obtained.","authors_text":"Frank Nijhoff, Wei Fu","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-12-14T16:21:18Z","title":"Direct linearising transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04711","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:69c50a40bee9f2c920a71ecc8e442563948678eb9a0fc6f866cb4ba594979ae0","target":"record","created_at":"2026-05-18T00:41:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ae866b1a6af26ecd39ee35014f177fa8baabd7832da5816423a18371a594127e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-12-14T16:21:18Z","title_canon_sha256":"d28333b58d2c61477aa890141b5b5252becdc28c9de11647893daf8472ae101e"},"schema_version":"1.0","source":{"id":"1612.04711","kind":"arxiv","version":3}},"canonical_sha256":"157f946506f40faf25ff4d2ddaab324d67099e405638a93bb2388b29ac5268a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"157f946506f40faf25ff4d2ddaab324d67099e405638a93bb2388b29ac5268a3","first_computed_at":"2026-05-18T00:41:20.899063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:20.899063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kF91deWG7E+HEa6Q77p6LBJAxiYZniuxUeGy+2mAvUbcYK/YvtqCcmpY981rlMQjw/aqjQjnC2+90HFzfLNbBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:20.899773Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.04711","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69c50a40bee9f2c920a71ecc8e442563948678eb9a0fc6f866cb4ba594979ae0","sha256:e093b63b7e79985da78e5d0da0f62be684efb5cfa8cc9782dfc496584bc01c96"],"state_sha256":"62fddd672e5579d18c83623bfb0eee1d3ba410a4f69d3e5108583d5e2a098f7a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K9BVV3oDHlJXsZUSs09CEAqelNz7ZGORVOXND01vetRnCAF2wSwRvQQ0bzemBEaga67K0uOP+770lz/pbvYHDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T04:33:43.412719Z","bundle_sha256":"6dc54e61e0251313c730d075ffde9310262307022c049d2fa39162931e83b0df"}}